33252560 has 80 divisors (see below), whose sum is σ = 87315840. Its totient is φ = 11665920.

The previous prime is 33252559. The next prime is 33252563. The reversal of 33252560 is 6525233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×33252560³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33252563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24869 + ... + 26171.

It is an arithmetic number, because the mean of its divisors is an integer number (1091448).

Almost surely, 2^33252560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33252560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43657920).

33252560 is an abundant number, since it is smaller than the sum of its proper divisors (54063280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33252560 is a wasteful number, since it uses less digits than its factorization.

33252560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 33252560 is about 5766.5032732151. The cubic root of 33252560 is about 321.5696319600.

Adding to 33252560 its reverse (6525233), we get a palindrome (39777793).

It can be divided in two parts, 3325 and 2560, that added together give a palindrome (5885).

The spelling of 33252560 in words is "thirty-three million, two hundred fifty-two thousand, five hundred sixty".